@inproceedings{71521b26638e4269852c738677f52a5b,
title = "Fourth order 4-stages improved Runge-Kutta method with minimized error norm",
abstract = "In this paper the improved Runge-Kutta method of order four with 4-stages for solving first order ordinary differential equation is proposed. The method is based on classical Runge-Kutta (RK) method also can be considered as special class of two-step method. Here, the coefficients of the method are obtained using the minimization of the error norm up to order five. The improved method with only 4-stages is more accurate than fourth order 4-stages RK method. Therefore it is computationally more efficient than the existing RK method. A number of test problems are solved and the numerical results compared with the existing RK method are given.",
keywords = "Improved Runge-Kutta method, Minimization of error norm, Ordinary differential equations, Two-step method",
author = "Faranak Rabiei and Fudziah Ismail",
note = "Publisher Copyright: {\textcopyright} 2014 AIP Publishing LLC. Copyright: Copyright 2017 Elsevier B.V., All rights reserved.; Statistics and Operational Research International Conference 2013, SORIC 2013 ; Conference date: 03-12-2013 Through 05-12-2013",
year = "2014",
doi = "10.1063/1.4894341",
language = "English",
series = "AIP Conference Proceedings",
publisher = "American Institute of Physics",
pages = "153--158",
editor = "Lee, {Lai Soon} and Mahendran Shitan and Eshkuvatov, {Zainidin K.}",
booktitle = "Statistics and Operational Research International Conference, SORIC 2013",
address = "United States of America",
}